For the reversible isothermal expansion of $1 \, \text{mol}$ of an ideal gas at $300 \, K$ from a volume of $10 \, dm^3$ to $20 \, dm^3$,the value of $\Delta H$ in $kJ$ is:

Given below are two statements $ : $
Statement $I :$ When a system containing ice in equilibrium with water $(\text{liquid})$ is heated, heat is absorbed by the system and there is no change in the temperature of the system until whole ice gets melted.
Statement $II :$ At the melting point of ice, there is absorption of heat in order to overcome intermolecular forces of attraction within the molecules of water in ice, and the kinetic energy of molecules is not increased at the melting point.
In the light of the above statements, choose the correct answer from the options given below $ : $

Which of the following is not an extensive property?

Identify the correct statements from the following:
$I$) Work is a path function.
$II$) Enthalpy is an extensive property.
$III$) Lattice enthalpy of ionic compounds can be obtained from Born-Haber cycle.

When $50 \ g$ of iron is dissolved in $HCl$ at $25 \ ^\circ C$ in a closed vessel,the work done is calculated to be ..... . The atmospheric pressure is $1 \ atm$. (in $J$)

$1 \, mol$ of an ideal gas is compressed reversibly at a constant temperature of $27 \, ^oC$ from $1 \, bar$ to $4 \, bar$. Calculate the work done in $kJ$.